Abstract
In this paper we obtain a bifurcation result for parameterized families of $k$ set-contractive perturbations of closed Fredholm operators of index zero by means of an elementary degree theory and its relationship to a homotopy invariant for curves of closed Fredholm operators called the parity. This theorem is applied to the study of bifurcation of nonlinear Sturm Liouville problems on an unbounded interval.
Citation
Maria Testa. "Bifurcation for families of nonlinear perturbation of closed Fredholm operators of index zero." Differential Integral Equations 15 (11) 1281 - 1312, 2002. https://doi.org/10.57262/die/1356060722
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